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Finding the Third Proportional to 172,512 and 365,760

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Solution

The third proportional to 172,512 and 365,760 is: 775,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,512 : 365,760 = 365,760 : x
  2. Step 2: Convert to fraction form
    172,512/365,760 = 365,760/x
  3. Step 3: Cross multiply
    172,512x = 365,760 × 365,760
  4. Step 4: Simplify right side
    172,512x = 133,780,377,600
  5. Step 5: Solve for x
    x = 133,780,377,600/172,512
  6. Step 6: Final answer
    x = 775,484.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.